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Finding the Third Proportional to 827,172 and 1,299,804.75

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Solution

The third proportional to 827,172 and 1,299,804.75 is: 2,042,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,172 : 1,299,804.75 = 1,299,804.75 : x
  2. Step 2: Convert to fraction form
    827,172/1,299,804.75 = 1,299,804.75/x
  3. Step 3: Cross multiply
    827,172x = 1,299,804.75 × 1,299,804.75
  4. Step 4: Simplify right side
    827,172x = 1,689,492,388,122.56
  5. Step 5: Solve for x
    x = 1,689,492,388,122.56/827,172
  6. Step 6: Final answer
    x = 2,042,492.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.